85350048 has 96 divisors (see below), whose sum is σ = 258660864. Its totient is φ = 24137472.

The previous prime is 85350019. The next prime is 85350059. The reversal of 85350048 is 84005358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71311 + ... + 72497.

It is an arithmetic number, because the mean of its divisors is an integer number (2694384).

Almost surely, 2^85350048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85350048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129330432).

85350048 is an abundant number, since it is smaller than the sum of its proper divisors (173310816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85350048 is a wasteful number, since it uses less digits than its factorization.

85350048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85350048 is about 9238.5089706078. The cubic root of 85350048 is about 440.2857097538.

The spelling of 85350048 in words is "eighty-five million, three hundred fifty thousand, forty-eight".